1. What is the Pythagorean Theorem?

The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This relationship is fundamental to geometry and has numerous practical applications.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem formula:

Where:

• \( a \) — Length of one side of the right triangle (m)
• \( b \) — Length of the other side of the right triangle (m)
• \( Hyp \) — Length of the hypotenuse (m)

Explanation: The formula calculates the length of the hypotenuse by taking the square root of the sum of the squares of the other two sides.

3. Importance of Hypotenuse Calculation

Details: Calculating the hypotenuse is essential in various fields including construction, navigation, engineering, and physics. It helps determine distances, design structures, and solve spatial problems.

4. Using the Calculator

Tips: Enter the lengths of both sides of the right triangle in meters. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: Can this calculator be used for any triangle?
A: No, this calculator specifically works for right-angled triangles only.

Q2: What units should I use for the measurements?
A: The calculator uses meters, but you can use any unit of measurement as long as you're consistent.

Q3: What if I know the hypotenuse and one side?
A: You can rearrange the formula to calculate the missing side: \( a = \sqrt{Hyp^2 - b^2} \)

Q4: How accurate are the results?
A: The calculator provides results with up to 4 decimal places, but real-world accuracy depends on your input measurements.

Q5: Can I use this for 3D calculations?
A: For 3D space, you would need to extend the formula: \( Hyp = \sqrt{a^2 + b^2 + c^2} \)